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Asked by Prashant DIGHE | 26 Jan, 2020, 21:37: PM
answered-by-expert Expert Answer
Force on electron = |e| E  ....................... (1)
 
where |e| is magnitude of charge and E is electric field intensity.
 
acceleration of electron = (|e| E ) / m
 
Considering speed v = 0 at t= 0, speed v(t) of electron at time t is given by ,
 
v(t) = acceleration × time = ( |e| E / m ) t
 
Momentum p = mass × speed = |e| × E × t  .....................(1)
 
De-broglie wavelength,  λ = h/p 
 
Rate of change of de-Broglie wavelength , dλ/dt = - ( h/p2 ) (dp/dt)  ......................(2)
 
Using eqn.(1), we get,  dλ/dt = - [ h / ( |e| × E × t )2 ] ( |e| × E )  = - [ h / ( |e| × E × t2 ) ]
 
 
 
Answered by Thiyagarajan K | 27 Jan, 2020, 09:09: AM

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